Noob Glue Up Question - Saw or Sand?

My search fu is weak as I can’t find the answer. Looking for advice… sandwiching three pieces of hardwood together to make one, the center piece being wider by an 1/8th or so than the others. After the glue dries, can I just rip the offending overhang so I have a nice clean edge without glue meltdown? Plus, I’m concerned that sanding pieces that are the same size but glued together, the glue will heat up and become a mess. And what about the glue lines? Keep the glue somewhat away from the edges? Best kind of glue for this task where the edges will be easily seen? Thanks!